1. The problem asks to determine which statement about the given geometric figure is true based on the angles and lines described. 2. Let's analyze each statement: - Statement 1: \(\angle QRT\) and \(\angle TRU\) are supplementary. Supplementary angles sum to 180°. - Statement 2: Line TX and Line QS are perpendicular. Perpendicular lines intersect at 90° angles. - Statement 3: The measure of \(\angle SWX\) is 108°. - Statement 4: Line UR and Line QS are parallel. Parallel lines never intersect and have equal corresponding angles. 3. From the description, Line TX is vertical and Line QS is horizontal but slightly slanted, so they are not exactly perpendicular. 4. The figure shows angles 18° and 72° near points O and S, which sum to 90°, indicating right angles at intersections involving Line UR. 5. Since Line UR intersects Lines TX and QS forming right angles at T and S, Line UR is perpendicular to both TX and QS. 6. Therefore, \(\angle QRT\) and \(\angle TRU\) are adjacent angles on a straight line, summing to 180°, so they are supplementary. 7. The measure of \(\angle SWX\) is not given as 108°, and no evidence supports that. 8. Line UR and Line QS are not parallel because they intersect at right angles. Final conclusion: The true statement is \(\angle QRT\) and \(\angle TRU\) are supplementary.